Question

Help, answer one that hasn’t been answered

Answer 1

4x + 2x = < y

This is because the opposite sides (which is 4x and 2x) of a triangle add up to the exterior angle (<y).

We have to find X.

As you know:

`3x + 4x + 2x = 180`

because the angles of a triangle add up to 180.

When we add them:

`9x = 180`

`x = (180)/(9)`

The 9 is multiplying with the X. We want X only and not 9 with it. So, when we take 9 to the other side, it becomes divide. As a result, the answer to x is:-

`x = 20`

Substitute value of x into 4x and 2x to find the exterior angle:-

4x:

`4(20) = 80`

2x:

`2(20) = 40`

When we add them we get the answer for angle Y:-

`80 + 40 = 120`

Therefore, we can conclude that:

`< y = 120 \: degrees`